%0 Journal Article %A Gokhan Soydan and Musa Demirci and Nazli Yildiz Ikikardes and Ismail Naci Cangul %D 2007 %J International Journal of Mathematical and Computational Sciences %B World Academy of Science, Engineering and Technology %I Open Science Index 1, 2007 %T Rational Points on Elliptic Curves 2 3 3y = x + a inF , where p 5(mod 6) is Prime %U https://publications.waset.org/pdf/14639 %V 1 %X In this work, we consider the rational points on elliptic curves over finite fields Fp where p ≡ 5 (mod 6). We obtain results on the number of points on an elliptic curve y2 ≡ x3 + a3(mod p), where p ≡ 5 (mod 6) is prime. We give some results concerning the sum of the abscissae of these points. A similar case where p ≡ 1 (mod 6) is considered in [5]. The main difference between two cases is that when p ≡ 5 (mod 6), all elements of Fp are cubic residues. %P 109 - 112